It's very common for guys in our area shooting skeet to have their gun over their shoulder as you described. I understand your safety concern but if the gun is broke open it doesn't really bother me.
As you stated shooting USPSA they are very safety oriented. They best in any shooting discipline I have every shot. I shot IPSC for years.
Now if you want to see scary gun handling. You should come out to the range when our dept qualifies. Cops are the scariest with gun handling. They all think they are gun experts, run hot ranges etc. we just shot this week. I always keep a close eye on everything going on around me!!!!